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Simplifying 4c = c2 + 4 Reorder the terms: 4c = 4 + c2 Solving 4c = 4 + c2 Solving for variable 'c'. Reorder the terms: -4 + 4c + -1c2 = 4 + c2 + -4 + -1c2 Reorder the terms: -4 + 4c + -1c2 = 4 + -4 + c2 + -1c2 Combine like terms: 4 + -4 = 0 -4 + 4c + -1c2 = 0 + c2 + -1c2 -4 + 4c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 -4 + 4c + -1c2 = 0 Factor a trinomial. (-2 + c)(2 + -1c) = 0Subproblem 1
Set the factor '(-2 + c)' equal to zero and attempt to solve: Simplifying -2 + c = 0 Solving -2 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {2, 2}
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